Question

15. Complete the indirect proof.

Given: Rectangle JKLM has an area of 36 square centimeters. Side JK is at least 4 centimeters long.
Prove: KL < 9 centimeters

Assume that a. ____. Then the area of rectangle JKLM is greater than b. _____ , which contradicts the given information that c. _____. So the assumption must be false. Therefore, d. _____.



16. P, Q, and R are three different points. PQ = 3x + 2, QR = x, RP = x + 2, and . List the angles of PQR in order from largest to smallest and justify your response.


17. Find the measures of an interior angle and an exterior angle of a regular polygon with 6 sides.




18. Isosceles trapezoid ABCD has legs AB and CD and base BC If AB = 6y – 6, BC = 4y – 7, and CD = 7y – 12, find the value of y.

Answer 1

c

Explanation:

List the angles in order from largest to smallest.

A) ∠R, ∠P, ∠Q

B) ∠R, ∠Q, ∠P

C) ∠Q, ∠P, ∠R

D) ∠Q, ∠R, ∠P

Answer 2

I know 17. The formula for INTERIOR angles is 180(n-2) divided by n. therefore 180(6-2) / 6 = 180 x 4 / 6 = 720 / 6 = 120.

and EXTERIOR angles is 360 divided by n, therefore 360/6 = 60.